Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/61, 70/933, 13/537 quickly i.e. 2730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/61, 70/933, 13/537 is 2730.
LCM(3/61, 70/933, 13/537) = 2730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/61,70/933,13/537
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 3,70,13
Least Common Multiple of Numerators i.e. LCM of 3,70,13 is 2730.
GCF of Denominators means GCF of 61,933,537 as per the given fractions.
GCF of 61,933,537 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,70,13
Given numbers has no common factors except 1. So, there LCM is their product i.e 2730
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 3,70,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,70,13) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3,70,13) x common factors =1 x 1 = 1
LCM(3,70,13) = ( 3 × 70 × 13 ) / 1
LCM(3,70,13) = 2730 / 1
LCM(3,70,13) = 2730
Lets's calculate GCF of 61,933,537
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2730/1
Therefore the LCM of Fractions 3/61,70/933,13/537 is 2730
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Greatest Common Factor
We found the factors 61,933,537 . The biggest common factor number is the GCF number.
So the greatest common factor 61,933,537 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 3/61, 70/933, 13/537?
Answer: LCM of Numerators as per given numbers 3/61, 70/933, 13/537 is
LCM of Numerators i.e. for 3,70,13 is 2730
GCF of denominators i.e. for 61,933,537 is 1.
Thus, LCM of Fractions is 2730.Finally, LCM of Fractions for 3/61, 70/933, 13/537 is 2730.